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Finding the Fourth Proportional to 37,950.96, 56,928.12 and 11,656.80

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Solution

The fourth proportional to 37,950.96, 56,928.12 and 11,656.80 is: 17,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,950.96 : 56,928.12 = 11,656.80 : x
  2. Step 2: Convert to fraction form
    37,950.96/56,928.12 = 11,656.80/x
  3. Step 3: Cross multiply
    37,950.96x = 56,928.12 × 11,656.80
  4. Step 4: Simplify right side
    37,950.96x = 663,599,709.22
  5. Step 5: Solve for x
    x = 663,599,709.22/37,950.96
  6. Step 6: Final answer
    x = 17,485.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.